Mathematical Perspectives in the Variable Texture Products Cutting Process

Abstract

The methods utilized to construct and identify the mathematical equation that characterizes the cutting of items with varied textures are presented in this work. Using laboratory equipment, the cutting process was carried out experimentally. The cutting energy was calculated based on the experimental results. The energy required to perform this process is directly influenced by the textural characteristics of the products used, as per the analysis of the experimental results obtained after the cutting process (density, humidity, products with or without peel). The gathered information was used to develop a general equation that would properly describe the process. Table Curve 3D software was used to create mathematical equations that define the relationship between input parameters, the type of product being cut, cutting speed, and output parameters, i.e., cutting energy. The equations that have the same correlation coefficient were discovered using the working methodology; it was specifically designed for this purpose.